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Interaction between a screw dislocation and a three-phase circular inhomogeneity with imperfect interface. (English) Zbl 1048.74008

Summary: We obtain analytical expressions for elastic stress fields due to the presence an exterior screw dislocation interacting with a three-phase circular inhomogeneity. In addition, the force on the dislocation is also derived. The bonding at the inhomogeneity-interphase interface is considered to be imperfect, with the assumption that the interface imperfections are constant. On the remaining boundary, that being the interphase-matrix interface, the bonding is assumed to be perfect. The equilibrium position of the dislocation is discussed in detail for various imperfect interface conditions, interphase layer thicknesses and material property combinations. The results demonstrate that the relative thickness of the interphase layer, the influence of the imperfect bonding condition and material property combinations are manifested by their effects on the equilibrium position and on the subsequent stability of the dislocation.

MSC:

74E05 Inhomogeneity in solid mechanics
74B05 Classical linear elasticity
30C20 Conformal mappings of special domains
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